A note on \(q\)-difference equations for Ramanujan's integrals

DOI10.1007/S11139-017-9987-1zbMath1407.39004OpenAlexW2790139216MaRDI QIDQ1733364

Jian Cao

Publication date: 21 March 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9987-1

zbMATH Keywords

generating functionRamanujan's integralAl-Salam-Carlitz polynomialsolutions of \(q\)-difference equation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (5)

A note on generalized \(q\)-difference equations for general Al-Salam-Carlitz polynomials ⋮ Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ An expansion of \((q, \lambda)\)-derivative operator ⋮ q-difference equations for homogeneous q-difference operators and their applications

Cites Work

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